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135154400 = 2552168943
BaseRepresentation
bin10000000111001…
…00101011100000
3100102022112222112
420003210223200
5234044420100
621224454452
73230536103
oct1003445340
9312275875
10135154400
116a322557
123931a428
1322001924
1413d4273a
15bceab35
hex80e4ae0

135154400 has 36 divisors (see below), whose sum is σ = 329947632. Its totient is φ = 54061440.

The previous prime is 135154381. The next prime is 135154423. The reversal of 135154400 is 4451531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83672 + ... + 85271.

It is an arithmetic number, because the mean of its divisors is an integer number (9165212).

Almost surely, 2135154400 is an apocalyptic number.

135154400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135154400 is an abundant number, since it is smaller than the sum of its proper divisors (194793232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135154400 is a wasteful number, since it uses less digits than its factorization.

135154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168963 (or 168950 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 135154400 is about 11625.5924580212. The cubic root of 135154400 is about 513.1882800744.

The spelling of 135154400 in words is "one hundred thirty-five million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 168943 337886 675772 844715 1351544 1689430 2703088 3378860 4223575 5406176 6757720 8447150 13515440 16894300 27030880 33788600 67577200 135154400